Edit Profile (opens in new tab) Shoikhet, Boris B. Co-Author Distance Author ID: shoikhet.boris Published as: Shoikhet, Boris; Shoikhet, B. B.; Shoikhet, B. more...less Homepage: https://www.uantwerpen.be/en/staff/boris-shoikhet/ External Links: MGP · Math-Net.Ru Documents Indexed: 49 Publications since 1997, including 25 Additional arXiv Preprints Co-Authors: 7 Co-Authors with 12 Joint Publications 519 Co-Co-Authors all top 5 Co-Authors 37 single-authored 4 Feĭgin, Boris L’vovich 4 Panero, Piergiorgio 2 Felder, Giovanni 1 Batanin, Michael A. 1 Lowen, Wendy 1 Ramos González, Julia 1 Vershik, Anatoliĭ Moiseevich all top 5 Serials 4 Advances in Mathematics 4 Mathematical Research Letters 4 Theory and Applications of Categories 2 Letters in Mathematical Physics 2 IMRN. International Mathematics Research Notices 1 Theoretical and Mathematical Physics 1 Duke Mathematical Journal 1 Geometric and Functional Analysis. GAFA 1 Applied Categorical Structures 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Journal of Noncommutative Geometry all top 5 Fields 12 Category theory; homological algebra (18-XX) 9 Nonassociative rings and algebras (17-XX) 8 Associative rings and algebras (16-XX) 7 Differential geometry (53-XX) 2 Commutative algebra (13-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 192 times in 154 Documents Cited by ▼ Year ▼ A proof of the Tsygan formality conjecture for chains. Zbl 1163.53350 Shoikhet, Boris 38 2003 Hochschild cohomology of the Weyl algebra and traces in deformation quantization. Zbl 1106.53055 Feigin, Boris; Felder, Giovanni; Shoikhet, Boris 31 2005 Deformation quantization with traces. Zbl 0983.53065 Felder, Giovanni; Shoikhet, Boris 31 2000 Vanishing of the Kontsevich integrals of the wheels. Zbl 1018.53043 Shoikhet, Boris 19 2001 On \([A,A]/[A[A,A]]\) and on a \(W_n\)-action on the consecutive commutators of free associative algebras. Zbl 1174.17020 Feigin, Boris; Shoikhet, Boris 16 2007 Koszul duality in deformation quantization and Tamarkin’s approach to Kontsevich formality. Zbl 1208.18009 Shoikhet, Boris 15 2010 Tsygan formality and Duflo formula. Zbl 1042.17016 Shoikhet, Boris 10 2003 On the tensor product of linear sites and Grothendieck categories. Zbl 1408.18024 Lowen, Wendy; Ramos González, Julia; Shoikhet, Boris 7 2018 An \(L_\infty \) algebra structure on polyvector fields. Zbl 1393.53092 Shoikhet, Boris 6 2018 Tetramodules over a bialgebra form a 2-fold monoidal category. Zbl 1288.18006 Shoikhet, Boris 5 2013 Differential graded categories and Deligne conjecture. Zbl 1333.18010 Shoikhet, Boris 5 2016 Certain topics on the representation theory of the Lie algebra \(gl(\lambda)\). Zbl 0916.17019 Shoikhet, B. B. 4 1998 The PBW property for associative algebras as an integrability condition. Zbl 1322.16031 Shoikhet, Boris 2 2014 On the twisted tensor product of small dg categories. Zbl 1477.16016 Shoikhet, Boris 1 2020 A closed model structure on the category of weakly unital dg categories. II. Zbl 1461.18016 Panero, Piergiorgio; Shoikhet, Boris 1 2021 Graded Leinster monoids and generalized Deligne conjecture for 1-monoidal abelian categories. Zbl 1409.18008 Shoikhet, Boris 1 2018 A closed model structure on the category of weakly unital dg categories. II. Zbl 1461.18016 Panero, Piergiorgio; Shoikhet, Boris 1 2021 On the twisted tensor product of small dg categories. Zbl 1477.16016 Shoikhet, Boris 1 2020 On the tensor product of linear sites and Grothendieck categories. Zbl 1408.18024 Lowen, Wendy; Ramos González, Julia; Shoikhet, Boris 7 2018 An \(L_\infty \) algebra structure on polyvector fields. Zbl 1393.53092 Shoikhet, Boris 6 2018 Graded Leinster monoids and generalized Deligne conjecture for 1-monoidal abelian categories. Zbl 1409.18008 Shoikhet, Boris 1 2018 Differential graded categories and Deligne conjecture. Zbl 1333.18010 Shoikhet, Boris 5 2016 The PBW property for associative algebras as an integrability condition. Zbl 1322.16031 Shoikhet, Boris 2 2014 Tetramodules over a bialgebra form a 2-fold monoidal category. Zbl 1288.18006 Shoikhet, Boris 5 2013 Koszul duality in deformation quantization and Tamarkin’s approach to Kontsevich formality. Zbl 1208.18009 Shoikhet, Boris 15 2010 On \([A,A]/[A[A,A]]\) and on a \(W_n\)-action on the consecutive commutators of free associative algebras. Zbl 1174.17020 Feigin, Boris; Shoikhet, Boris 16 2007 Hochschild cohomology of the Weyl algebra and traces in deformation quantization. Zbl 1106.53055 Feigin, Boris; Felder, Giovanni; Shoikhet, Boris 31 2005 A proof of the Tsygan formality conjecture for chains. Zbl 1163.53350 Shoikhet, Boris 38 2003 Tsygan formality and Duflo formula. Zbl 1042.17016 Shoikhet, Boris 10 2003 Vanishing of the Kontsevich integrals of the wheels. Zbl 1018.53043 Shoikhet, Boris 19 2001 Deformation quantization with traces. Zbl 0983.53065 Felder, Giovanni; Shoikhet, Boris 31 2000 Certain topics on the representation theory of the Lie algebra \(gl(\lambda)\). Zbl 0916.17019 Shoikhet, B. B. 4 1998 all cited Publications top 5 cited Publications all top 5 Cited by 164 Authors 13 Skvortsov, Evgeny D. 13 Willwacher, Thomas Hans 12 Sharapov, Alexey A. 9 Rossi, Carlo Antonio 7 Shoikhet, Boris B. 7 Tang, Xiang 7 Torossian, Charles 6 Calaque, Damien 6 Felder, Giovanni 5 Alekseev, Anton Yur’evich 5 Dolgushev, Vasily A. 5 Kupriyanov, Vladislav G. 5 Pflaum, Markus J. 5 Posthuma, Hessel Bouke 5 Ramos González, Julia 4 Cattaneo, Alberto Sergio 4 Chen, Xiaojun 4 Jordan, David Andrew 4 Krasilnikov, Alexei N. 4 Van den Bergh, Michel 3 Dosi, Anar Adygezal 3 Eshmatov, Farkhod 3 Van Dongen, Richard 3 Waldmann, Stefan 2 Andler, Martin 2 Deryabina, Galina 2 Di Liberti, Ivan 2 Etingof, Pavel Il’ich 2 Fiorenza, Domenico 2 Gutt, Simone 2 Karabegov, Alexander V. 2 Khoroshkin, Anton 2 Kowalzig, Niels 2 Leites, Dimitry A. 2 Li, Si 2 Liao, Hsuan-Yi 2 Liu, Leilei 2 Merkulov, Sergei A. 2 Morand, Kevin 2 Pym, Brent 2 Ramadoss, Ajay C. 2 Rubtsov, Vladimir Nikolaevich 2 Sahi, Siddhartha 2 Stiénon, Mathieu 2 Sukhanov, Arseny 2 Tu, Junwu 2 Vitale, Patrizia 2 Wallet, Jean-Christophe 2 Xu, Ping 2 Zubkov, Mikhail A. 1 Abughazalah, Nabilah Hani 1 Arbesfeld, Noah 1 Bacard, Hugo V. 1 Baklouti, Ali 1 Balagović, Martina 1 Balasubramanian, Anirudha 1 Balodi, Mamta 1 Banerjee, Abhishek 1 Banks, Peter 1 Bapat, Asilata 1 Baranovsky, Vladimir 1 Basile, Thomas 1 Behr, Wolfgang 1 Ben Amar, Nabiha 1 Berenstein, Arkady 1 Bhupatiraju, Surya 1 Bieliavsky, Pierre 1 Blaschke, Daniel N. 1 Bond, Ben 1 Bonechi, Francesco 1 Bordemann, Martin 1 Buring, Ricardo 1 Bursztyn, Henrique 1 Căldăraru, Andrei 1 Chekhov, Leonid O. 1 Chen, Youming 1 Chen, Zhuo 1 Cheng, Jiahao 1 Chryssomalakos, Chryssomalis 1 Cordwell, Katherine 1 Coulembier, Kevin 1 da Costa, Eudes Antonio 1 De Kleijn, Niek 1 de Thanhoffer de Völcsey, Louis 1 Dhieb, Sami 1 Dotsenko, Vladimir Viktorovich 1 Dvorsky, Alexander 1 Esposito, Chiara 1 Fei, Teng 1 Feĭgin, Boris L’vovich 1 Felder, Matteo 1 Ferrario, Andrea 1 Fialkovsky, Ignat V. 1 Gargoubi, Hichem 1 Gayral, Victor 1 Gieres, François 1 Grady, Ryan E. 1 Grigoriev, Maxim 1 Grozman, Pavel 1 Gui, Zhengping ...and 64 more Authors all top 5 Cited in 50 Serials 20 Advances in Mathematics 15 Letters in Mathematical Physics 11 Journal of Algebra 8 Nuclear Physics. B 8 Journal of Geometry and Physics 7 Communications in Mathematical Physics 7 Journal of High Energy Physics 5 Journal für die Reine und Angewandte Mathematik 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Noncommutative Geometry 4 Inventiones Mathematicae 3 Communications in Algebra 3 Reviews in Mathematical Physics 3 Duke Mathematical Journal 3 Applied Categorical Structures 2 Journal of Mathematical Physics 2 Theoretical and Mathematical Physics 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Theory and Applications of Categories 2 Algebras and Representation Theory 2 Annals of Mathematics. Second Series 2 Journal of Nonlinear Mathematical Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics A 1 Physics Reports 1 Fortschritte der Physik 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Quaestiones Mathematicae 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Russian Journal of Mathematical Physics 1 Transformation Groups 1 Algebraic & Geometric Topology 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Foundations of Physics 1 Banach Journal of Mathematical Analysis 1 Confluentes Mathematici 1 Higher Structures 1 SciPost Physics all top 5 Cited in 30 Fields 78 Differential geometry (53-XX) 49 Associative rings and algebras (16-XX) 43 Quantum theory (81-XX) 40 Category theory; homological algebra (18-XX) 38 Nonassociative rings and algebras (17-XX) 23 Algebraic geometry (14-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Relativity and gravitational theory (83-XX) 10 \(K\)-theory (19-XX) 10 Functional analysis (46-XX) 9 Topological groups, Lie groups (22-XX) 8 Several complex variables and analytic spaces (32-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 3 Number theory (11-XX) 3 Partial differential equations (35-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year